Machado J T, Kiryakova V, Mainardi F. Recent history of fractional calculus. Communications in Nonlinear Science and Numerical Simulation, 2011, 16(3): 1140-1153
[2]
Valerio D, Costa J S. Time-domain implementation of fractional order controllers. IEE Proceedings -- Control Theory and Applications, 2005, 152(5): 539-552
[3]
Merrikh-Bayat F, Karimi-Ghartemani M. Method for designing PI^{λ }D^{μ } stabilisers for minimum-phase fractional-order systems. IET Control Theory and Applications, 2010, 4(1): 61-70
[4]
Jelicic Z D, Petrovacki N. Optimality conditions and a solution scheme for fractional optimal control problems. Structural and Multidisciplinary Optimization, 2009, 38(6): 571-581
[5]
Tavazoei M S, Haeri M. A note on the stability of fractional order systems. Mathematics and Computers in Simulation, 2009, 79(5): 1566-1576
[6]
Lu J G, Chen G R. Robust stability and stabilization of fractional-order interval systems: an LMI approach. IEEE Transactions on Automatic Control, 54(6): 1294-1299
[7]
Radwan A G, Soliman A M, Elwakil A S, Sedeek A. On the stability of linear systems with fractional-order elements. Chaos Solition and Fractals, 2009, 40(5): 2317-2328
[8]
Auba T, Funahashi Y. A note on Kharitonov's theorem. IEEE Transactions on Automatic Control, 1993, 38(4): 663-664
[9]
Moornani K A, Haeri M. Robust stability testing function and Kharitonov-like theorem for fractional order interval systems. IET Control Theory and Applications, 2010, 4(10): 2097-2109
[10]
Jesus I S, Machado J A T. Fractional control of heat diffusion systems. Nonlinear Dynamics, 2008, 54(3): 263-282
[11]
Zamani M, Karimi-Ghartemani M, Sadati N, Parniani M. Design of a fractional order PID controller for an AVR using particle swarm optimization. Control Engineering Practice, 2009, 17(12): 1380-1387
[12]
Pisano A, Rapaic M R, Jelicic Z D, Usai E. Sliding mode control approaches to the robust regulation of linear multivariable fractional-order dynamics. International Journal of Robust Nonlinear Control, 2010, 20(18): 2045-2056
[13]
Li Y, Chen Y Q, Ahn H S. Fractional-order iterative learning control for fractional-order linear systems. Asian Journal of Control, 2011, 13(1): 54-63
[14]
Lu J G, Chen Y Q. Robust stability and stabilization of fractional-order interval systems with the fractional order α : the 0<α<1 case. IEEE Transactions on Automatic Control, 2010, 55(1): 152-158
[15]
Liao Z, Peng C, Li W, Wang Y. Robust stability analysis for a class of fractional order systems with uncertain parameters. Journal of the Franklin Institute, 2011, 348(6): 1101-1113
[16]
Wang Zhen-Bin, Cao Guang-Yi, Zhu Xin-Jian. Stability conditions and criteria for fractional order linear time-invariant systems. Control Theory and Applications, 2004, 21(6): 922-926(王振滨, 曹广益, 朱新坚. 分数阶线性定常系统的稳定性及其判据. 控制理论与应用, 2004, 21(6): 922-926)
[17]
Bhattacharyya S P, Chapellat H, Keel L H. Robust Control: the Parametric Approach. New Jersey: Prentice Hall, 1995. 37-39